Finding the Fourth Proportional to 1,459.56, 2,014.31 and 821.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.56 : 2,014.31 = 821.45 : x
2. Step 2: Convert to fraction form
   1,459.56/2,014.31 = 821.45/x
3. Step 3: Cross multiply
   1,459.56x = 2,014.31 × 821.45
4. Step 4: Simplify right side
   1,459.56x = 1,654,654.95
5. Step 5: Solve for x
   x = 1,654,654.95/1,459.56
6. Step 6: Final answer
   x = 1,133.67